What is the Greatest Common Factor of 73305 and 73310?

Greatest common factor (GCF) of 73305 and 73310 is 5.

GCF(73305,73310) = 5

We will now calculate the prime factors of 73305 and 73310, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73305 and 73310.

How to find the GCF of 73305 and 73310?

We will first find the prime factorization of 73305 and 73310. After we will calculate the factors of 73305 and 73310 and find the biggest common factor number .

Step-1: Prime Factorization of 73305

Prime factors of 73305 are 3, 5, 181. Prime factorization of 73305 in exponential form is:

73305 = 3⁴ × 5¹ × 181¹

Step-2: Prime Factorization of 73310

Prime factors of 73310 are 2, 5, 7331. Prime factorization of 73310 in exponential form is:

73310 = 2¹ × 5¹ × 7331¹

Step-3: Factors of 73305

List of positive integer factors of 73305 that divides 73305 without a remainder.

1, 3, 5, 9, 15, 27, 45, 81, 135, 181, 405, 543, 905, 1629, 2715, 4887, 8145, 14661, 24435

Step-4: Factors of 73310

List of positive integer factors of 73310 that divides 73305 without a remainder.

1, 2, 5, 10, 7331, 14662, 36655

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73305 and 73310. The biggest common factor number is the GCF number.
So the greatest common factor 73305 and 73310 is 5.

Also check out the Least Common Multiple of 73305 and 73310